Dense subtrees in complete Boolean algebras

Mathematical Logic Quarterly 52 (3):283-287 (2006)
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Abstract

We characterize complete Boolean algebras with dense subtrees. The main results show that a complete Boolean algebra contains a dense tree if its generic filter collapses the algebra's density to its distributivity number and the reverse holds for homogeneous algebras

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10.1002/malq.200510033

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Games played on Boolean algebras.Matthew Foreman - 1983 - Journal of Symbolic Logic 48 (3):714-723.

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